000 03379nam a22005415i 4500
001 978-3-319-90647-8
003 DE-He213
005 20220801220710.0
007 cr nn 008mamaa
008 180509s2019 sz | s |||| 0|eng d
020 _a9783319906478
_9978-3-319-90647-8
024 7 _a10.1007/978-3-319-90647-8
_2doi
050 4 _aTA329-348
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
082 0 4 _a620.00151
_223
100 1 _aMarin, Marin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_951828
245 1 0 _aEssentials of Partial Differential Equations
_h[electronic resource] :
_bWith Applications /
_cby Marin Marin, Andreas Öchsner.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXI, 380 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPART I: Quasilinear equations -- Operators of second order -- The theory of potential -- Elliptic operators -- Operational calculus -- Parabolic equations -- Hyperbolic equations -- Part II: Elements of distributions -- Integral formulas -- Equations of the first order -- Equations of second order -- Harmonic functions -- Weak solutions -- Regularity of the solutions -- Parabolic equations -- Hyperbolic equations. .
520 _aThis book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject. Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green’s function, and Green’s formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects of the theory of partial differential equations.
650 0 _aEngineering mathematics.
_93254
650 0 _aDifferential equations.
_951829
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 1 4 _aEngineering Mathematics.
_93254
650 2 4 _aDifferential Equations.
_951830
650 2 4 _aSolid Mechanics.
_931612
700 1 _aÖchsner, Andreas.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_951831
710 2 _aSpringerLink (Online service)
_951832
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319906461
776 0 8 _iPrinted edition:
_z9783319906485
776 0 8 _iPrinted edition:
_z9783030080648
856 4 0 _uhttps://doi.org/10.1007/978-3-319-90647-8
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c78844
_d78844